The Reds amassed 15 shots on target at the Madejski Stadium yet were unable of finding a way past a stunning performance from goalkeeper Alex McCarthy, who made a succession of world-class saves.
While they were drawing a blank against relegation-doomed Reading, the player they loaned to West Ham at the start of the season was busy scoring his fifth goal in seven matches in the 1-1 draw at Southampton.
"It's not at all unfortunate that Andy's scoring goals. We're the fourth highest goalscorers in the league, so scoring hasn't been a problem for us," Rodgers said.
"Andy's situation is really simple. He didn't want to stay and be on the bench. He wanted to play games.
"You always try to find solutions to break down the opposition. We broke down Reading, we just came up against a keeper that was inspired.
"We can have no complaints this year, we've scored many goals. But in the last two games we just haven't been able to produce the goal, which sometimes happens.
"But we've kept a clean sheet as well. That's 13 clean sheets, which is one of the best records in the league.
"These are marginal gains that we'll take, but we know we have to finish off games like that in the future."